AS we know that:
And we have the volume and we can calculate the SA,,,
So that, we can conclude:
And we have the volume and we can calculate the SA,,,
So that, we can conclude:
Are you satisfied?
A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail
ed. The device fails when and only when the second circuit fails. Let X and Y be the times (in years) at which the first and second circuits fail, respectively. Their joint probability density function (pdf) is 6e-xe-20 for 0 < x < y 〈 oo; otherwise (a) Find the pdf of X. Identify the distribution of X (b) Find the pdf of Y (c) What is the expected time at which the device fails?
1 answer:
Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks
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Answer:
Volume of the given cone is 1107.6 cubic feet.
Step-by-step explanation:
Formula to get the volume of a right circular cone is,
V =
Here r = radius of the circular base
h = height of the cone
Now we put the values in the given formula
Volume = [ radius =
]
=
= 1107.55
≈ 1107.6 cubic feet
Therefore, volume of the given cone is 1107.6 cubic feet.
